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Branching time and Many-body Chaos

ORAL

Abstract

Branching time is defined in terms of the retarded kernel to quantify the stringy effects in SYK-like models. In this work, after presenting a weighting trick to calculate the branching time, we prove a bound on the branching time for a large class of systems. We also derive a relation between the branching time, the Lyapunov exponent and the quasiparticle lifetime for weakly coupling models.

Presenters

  • Pengfei Zhang

    Caltech, Institute for Quantum Information and Matter, California Institute of Technology, Tsinghua University

Authors

  • Yingfei Gu

    Harvard University, Havard, Department of Physics, Harvard University

  • Alexei Kitaev

    Caltech, Physics, Caltech

  • Hui Zhai

    Tsinghua University, Institute for Advanced Study, Tsinghua University

  • Pengfei Zhang

    Caltech, Institute for Quantum Information and Matter, California Institute of Technology, Tsinghua University